Details

analyze997.0ms (15.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample66.0ms (1%)

Algorithm

1×

intervals

Results

34.0ms	121×	body	2048	valid
14.0ms	70×	body	1024	valid
5.0ms	33×	body	512	valid
2.0ms	19×	body	256	valid
1.0ms	13×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.4b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite110.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

20×	`add-sqr-sqrt_binary64_2146`
19×	`*-un-lft-identity_binary64_2124`
18×	`times-frac_binary64_2130`
15×	`add-cube-cbrt_binary64_2159`
10×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`pow1_binary64_2185` `difference-of-squares_binary64_2093`
6×	`associate-/r*_binary64_2068`
4×	`difference-of-sqr-1_binary64_2094`
3×	`add-log-exp_binary64_2163` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065` `associate-/l*_binary64_2069`
2×	`flip3--_binary64_2128` `associate-/l/_binary64_2071` `flip--_binary64_2099` `associate-/r/_binary64_2070`
1×	`acos-asin_binary64_2305` `unswap-sqr_binary64_2092` `associate-r_binary64_2064` `*-commutative_binary64_2055` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121`

Counts

3 → 71

Calls

3 calls:

8.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
5.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1581 to 991 computations (37.3% saved)

series130.0ms (2%)

Error

0.4b

Counts

3 → 12

Calls

3 calls:

47.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
41.0ms	(.f64 5 (.f64 v v))
33.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 312 to 284 computations (9% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4931	1785
1	4931	1785

prune78.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	2	84

Error

0.4b

Counts

84 → 2

Compiler

Compiled 1301 to 833 computations (36% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))
0.0b	(+.f64 (*.f64 v v) (pow.f64 v 4))
0.4b	(acos.f64 (+.f64 -1 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))))

rewrite71.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

7×	`add-sqr-sqrt_binary64_2146`
5×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
3×	`associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-*r/_binary64_2066`
1×	`acos-asin_binary64_2305` `sum-log_binary64_2215` `+-commutative_binary64_2054` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `*-commutative_binary64_2055`

Counts

3 → 41

Calls

3 calls:

9.0ms	(.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))
5.0ms	(+.f64 (*.f64 v v) (pow.f64 v 4))
1.0ms	(acos.f64 (+.f64 -1 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))))

Compiler

Compiled 844 to 563 computations (33.3% saved)

series243.0ms (3.7%)

Error

0.4b

Counts

3 → 15

Calls

3 calls:

119.0ms	(.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))
88.0ms	(+.f64 (*.f64 v v) (pow.f64 v 4))
31.0ms	(acos.f64 (+.f64 -1 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))))

Compiler

Compiled 344 to 319 computations (7.3% saved)

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6083	836

prune56.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Error

0.4b

Counts

58 → 4

Compiler

Compiled 811 to 570 computations (29.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
1.0b	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)

rewrite114.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

12×	`add-sqr-sqrt_binary64_2146` `cbrt-prod_binary64_2155`
11×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
4×	`add-log-exp_binary64_2163`
3×	`pow-unpow_binary64_2201` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065`
2×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `sqr-pow_binary64_2096`
1×	`pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `rem-cube-cbrt_binary64_2147` `pow1/3_binary64_2206` `rem-cbrt-cube_binary64_2148` `acos-asin_binary64_2305` `unswap-sqr_binary64_2092` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

4 → 71

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
2.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
2.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1687 to 1124 computations (33.4% saved)

series249.0ms (3.8%)

Error

0.4b

Counts

4 → 12

Calls

4 calls:

146.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
36.0ms	(.f64 5 (.f64 v v))
31.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
31.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))

Compiler

Compiled 438 to 402 computations (8.2% saved)

simplify95.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4883	1881
1	4883	1881

prune66.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	83	4	87

Error

0.4b

Counts

87 → 4

Compiler

Compiled 1086 to 732 computations (32.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))
1.0b	(sqrt.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)))
1.0b	(sqrt.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)))
1.0b	(.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))) (sqrt.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (*.f64 v v))) -1))))

rewrite177.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

30×	`add-sqr-sqrt_binary64_2146`
24×	`sqrt-prod_binary64_2140`
21×	`pow1_binary64_2185`
14×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142`
8×	`swap-sqr_binary64_2091`
6×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `associate-l_binary64_2065` `associate-r_binary64_2064`
5×	`pow-prod-up_binary64_2194`
4×	`add-log-exp_binary64_2163` `rem-sqrt-square_binary64_2137` `unswap-sqr_binary64_2092`
3×	`pow-prod-down_binary64_2195` `pow-sqr_binary64_2097`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `sqrt-unprod_binary64_2144` `sqr-abs_binary64_2139` `rem-square-sqrt_binary64_2136` `*-commutative_binary64_2055` `acos-asin_binary64_2305`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))) (sqrt.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (*.f64 v v))) -1))))
2.0ms	(acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))
1.0ms	(sqrt.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)))
1.0ms	(sqrt.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)))

Compiler

Compiled 2628 to 1906 computations (27.5% saved)

series287.0ms (4.4%)

Error

0.4b

Counts

4 → 12

Calls

4 calls:

100.0ms	(sqrt.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)))
85.0ms	(sqrt.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)))
56.0ms	(acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))
36.0ms	(.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))) (sqrt.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (*.f64 v v))) -1))))

Compiler

Compiled 678 to 588 computations (13.3% saved)

simplify132.0ms (2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5116	1958

prune155.0ms (2.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	96	4	100

Error

0.4b

Counts

100 → 4

Compiler

Compiled 1440 to 1046 computations (27.4% saved)

regimes568.0ms (8.6%)

Accuracy

Total 0.0b remaining (3.5%)

Threshold costs 0.0b (3.5%)

Compiler

Compiled 4113 to 3121 computations (24.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	25
1	44	25

end3.0ms (0%)

Compiler: Compiled 16 to 12 computations (25% saved)

sample2.7s (41.2%)

Algorithm

1×

intervals

Results

1.5s	3986×	body	2048	valid
514.0ms	1961×	body	1024	valid
180.0ms	1016×	body	512	valid
62.0ms	514×	body	256	valid
34.0ms	520×	body	128	valid
1.0ms	3×	body	4096	valid
0.0ms	9×	body	128	nan

Compiler

Compiled 125 to 103 computations (17.6% saved)

Details

analyze997.0ms (15.2%)

sample66.0ms (1%)

simplify74.0ms (1.1%)

prune6.0ms (0.1%)

localize8.0ms (0.1%)

rewrite110.0ms (1.7%)

series130.0ms (2%)

simplify76.0ms (1.2%)

prune78.0ms (1.2%)

localize10.0ms (0.2%)

rewrite71.0ms (1.1%)

series243.0ms (3.7%)

simplify67.0ms (1%)

prune56.0ms (0.9%)

localize11.0ms (0.2%)

rewrite114.0ms (1.7%)

series249.0ms (3.8%)

simplify95.0ms (1.4%)

prune66.0ms (1%)

localize11.0ms (0.2%)

rewrite177.0ms (2.7%)

series287.0ms (4.4%)

simplify132.0ms (2%)

prune155.0ms (2.4%)

regimes568.0ms (8.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end3.0ms (0%)

sample2.7s (41.2%)

Profiling